# Precalculus : Enhanced with Graphing Utilities

**by**Sullivan, Michael; Sullivan, Michael III

### 9780136015789

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## Summary

## Author Biography

** Mike Sullivan ** is a Professor of Mathematics at Chicago State University and received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years and has authored or co-authored over fifty books. Mike has four children, all of whom are involved with mathematics or publishing: Kathleen, who teaches college mathematics; Mike III, who co-authors this series and teaches college mathematics; Dan, who is a Pearson Education sales representative; and Colleen, who teaches middle-school mathematics. When he's not writing, Mike enjoys gardening or spending time with his family, including nine grandchildren.

** Mike Sullivan III ** is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

## Table of Contents

Graphs | |

Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations | |

Intercepts; Symmetry; Graphing Key Equations | |

Solving Equations Using a Graphing Utility | |

Lines | |

Circles | |

Functions and Their Graphs | |

Functions | |

The Graph of a Function | |

Properties of Functions | |

Library of Functions; Piecewise-defined Functions | |

Graphing Techniques: Transformations | |

Mathematical Models: Building Functions | |

Linear and Quadratic Functions | |

Linear Functions, Their Properties, and Linear Models | |

Building Linear Models from Data; Direct Variation | |

Quadratic Functions and Their Properties | |

Building Quadratic Models from Verbal Descriptions and Data | |

Inequalities Involving Quadratic Functions | |

Polynomial and Rational Functions | |

Polynomial Functions and Models | |

Properties of Rational Functions | |

The Graph of a Rational Function | |

Polynomial and Rational Inequalities | |

The Real Zeros of a Polynomial Function | |

Complex Zeros; Fundamental Theorem of Algebra | |

Exponential and Logarithmic Functions | |

Composite Functions | |

One-to-One Functions; Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Logarithmic and Exponential Equations | |

Financial Models | |

Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models | |

Building Exponential, Logarithmic, and Logistic Models from Data | |

Trigonometric Functions | |

Angles and Their Measure | |

Trigonometric Functions: Unit Circle Approach | |

Properties of the Trigonometric Functions | |

Graphs of the Sine and Cosine Functions | |

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |

Phase Shift; Building Sinusoidal Models | |

Analytic Trigonometry | |

The Inverse Sine, Cosine, and Tangent Functions | |

The Inverse Trigonometric Functions (Continued) | |

Trigonometric Identities | |

Sum and Difference Formulas | |

Double-angle and Half-angle Formulas | |

Product-to-Sum and Sum-to-Product Formulas | |

Trigonometric Equations (I) | |

Trigonometric Equations (II) | |

Applications of Trigonometric Functions | |

Applications Involving Right Triangles | |

The Law of Sines | |

The Law of Cosines | |

Area of a Triangle | |

Simple Harmonic Motion; Damped Motion; Combining Waves | |

Polar Coordinates; Vectors | |

Polar Coordinates | |

Polar Equations and Graphs | |

The Complex Plane; DeMoivre's Theorem | |

Vectors | |

The Dot Product | |

Vectors in Space | |

The Cross Product | |

Analytic Geometry | |

Conics | |

The Parabola | |

The Ellipse | |

The Hyperbola | |

Rotation of Axes; General Form of a Conic | |

Polar Equations of Conics | |

Plane Curves and Parametric Equations | |

Systems of Equations and Inequalities | |

Systems of Linear Equations: Substitution and Elimination | |

Systems of Linear Equations: Matrices | |

Systems of Linear Equations: Determinants | |

Matrix Algebra | |

Partial Fraction Decomposition | |

Systems of Nonlinear Equations | |

Systems of Inequalities | |

Linear Programming | |

Sequences; Induction; the Binomial Theorem | |

Sequences | |

Arithmetic Sequences | |

Geometric Sequences; Geometric Series | |

Mathematical Ind<$$$> | |

Table of Contents provided by Publisher. All Rights Reserved. |